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Finding the Fourth Proportional to 5,506.56, 8,259.03 and 2,043

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Solution

The fourth proportional to 5,506.56, 8,259.03 and 2,043 is: 3,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.56 : 8,259.03 = 2,043 : x
  2. Step 2: Convert to fraction form
    5,506.56/8,259.03 = 2,043/x
  3. Step 3: Cross multiply
    5,506.56x = 8,259.03 × 2,043
  4. Step 4: Simplify right side
    5,506.56x = 16,873,198.29
  5. Step 5: Solve for x
    x = 16,873,198.29/5,506.56
  6. Step 6: Final answer
    x = 3,064.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.